Polynomials intro | Mathematics II | High School Math | Khan Academy

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  • Опубліковано 30 бер 2017
  • Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/alge...
    Polynomials are sums of terms of the form kâ xâ ¿, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.
    Watch the next lesson: www.khanacademy.org/math/high...
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    High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.
    About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
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    Subscribe to Khan Academyâ s High School Math channel: / channel
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КОМЕНТАРІ • 266

  • @noparkingbp7355
    @noparkingbp7355 4 роки тому +330

    Without this, quarantine learning would be impossible

  • @dennynguyen9961
    @dennynguyen9961 5 років тому +442

    Does anyone else find his writing satisfying

    • @teendailymotivation9817
      @teendailymotivation9817 4 роки тому +20

      I thought I was the only one who thought that... Well, at least I'm not alone. You can literally turn off the audio and then just watch him write. The most satisfying video I've seen so far.

    • @myorkka
      @myorkka 4 роки тому +5

      NOPE I LUV IT

    • @drewfrankenberg6473
      @drewfrankenberg6473 4 роки тому +4

      @@myorkka he should use that green more.

    • @KNarasimhaSwamy1
      @KNarasimhaSwamy1 4 роки тому +1

      Yellow is more visible on black background. He should have used it. Red is not clear.

    • @linglinglong0009
      @linglinglong0009 3 роки тому +3

      Maybe it's his hella neat handwriting.

  • @feldmarschallvonbraunschwe4463
    @feldmarschallvonbraunschwe4463 5 років тому +201

    Tfw this is more effective than my teacher

  • @nimphah.1052
    @nimphah.1052 6 років тому +91

    thank u sooo much Mr. Khan, as a Mom of a middle schooler and soon to be in high school, you have made my life as a Mom easier. I really appreciate your knowledge, and effort in mentoring millions of kids that needed to excel above and beyond with their math skills.

    • @randomhuman1198
      @randomhuman1198 3 роки тому +4

      my teacher is failing to teach me and he helped

    • @meid6560
      @meid6560 3 роки тому

      I'm fine

    • @turbocpt1
      @turbocpt1 2 роки тому

      So your teacher failed to teach you and helped you at the same time? That is amazing ffs

    • @saltypenguin0_o
      @saltypenguin0_o 2 роки тому

      @@turbocpt1 when @Random Human119 said "he" he meant the guy running the channel

    • @turbocpt1
      @turbocpt1 2 роки тому

      @@saltypenguin0_o I know. I was sarcastically demonstrating the message portrayed by the comment, in context to the comment layout.

  • @stevencooke6451
    @stevencooke6451 4 роки тому +38

    Everything done by Khan is perfectly paced and clearly explained.

  • @gotofinancial
    @gotofinancial 7 років тому +160

    good video khan. your video always help me to get good grades on school. we need more people like you

  • @No_MoreFish
    @No_MoreFish 4 роки тому +23

    we're out for coronavirus and my teacher told us to use khan academy for he videos and work... OMG this guy is better than my own teacher!!

    • @stevencooke6451
      @stevencooke6451 4 роки тому +3

      Teacher might have made a mistake pointing you here.

    • @No_MoreFish
      @No_MoreFish 4 роки тому +1

      steven cooke yeah probably I haven’t learned a single thing over corona break 😂

  • @kathdayknight
    @kathdayknight 2 роки тому +7

    It's 9:45pm the night before the maths test, and here I am learning what my maths teacher couldn't. thanks khan academy!

  • @danyalwasim9414
    @danyalwasim9414 4 роки тому +62

    anyone here in quarantine stressin about their studies or are u guys normal?

  • @DerpieNation
    @DerpieNation 7 років тому +69

    this was uploaded the day i started them in class woah

  • @user-cx9un9fs7q
    @user-cx9un9fs7q 2 роки тому +1

    I have difficulty understanding what my teachers are talking about because they all seem bad at explaining things but you make it so simple. And I love that because I love math and want to properly understand math.

  • @user-fl6ww3rs5q
    @user-fl6ww3rs5q 2 дні тому

    I never payed any attention during high school math classes so I did horrendously. now that I’m going to college your videos have helped me make up for all the learning I missed out on.

  • @bonzaralph
    @bonzaralph 7 років тому +9

    Great, can't thank you enough, so helpful. Will look out for more of the same only different.

  • @Canucks4us
    @Canucks4us 3 роки тому +1

    As an adult student needing a refresher, Khan academy has been a god send. Thank you so much!

  • @huldukonan
    @huldukonan 3 роки тому +7

    I find it weird that I understand this better in English than my own Icelandic language.

  • @rushviribadiya-9332
    @rushviribadiya-9332 Рік тому +1

    The best thing about Khan Academy is that every single minor doubt and information is given in the video. In short they teach the topic from the root.

  • @parkavenue6970
    @parkavenue6970 3 роки тому +3

    An absolutely beautiful explanation! Thank you!

  • @feiyinwang6169
    @feiyinwang6169 Рік тому

    Incredible video! No words can describe how useful these knowledge is for me. Thank you so much!

  • @unknownalex1821
    @unknownalex1821 6 років тому +8

    Your video's always help me and my school uses them

  • @shashankemani1609
    @shashankemani1609 Рік тому

    Such a clear explanation. Thanks!

  • @pisanghangus2
    @pisanghangus2 5 років тому +1

    didn't learn that in school 10 years ago.. Thanks Khan

  • @tashingachigodora1092
    @tashingachigodora1092 4 роки тому +2

    Thank you so much. Well articulated and i have really understood.

  • @umerfarooq2234
    @umerfarooq2234 3 роки тому

    Didn't under stood this at school but literally this educational page saved my grades...👍

  • @hannahtaylorlucas1329
    @hannahtaylorlucas1329 3 роки тому

    this was very helpful! thank you!

  • @ahladeep
    @ahladeep 3 роки тому +2

    Khan Academy is a great tool to be a step ahead of what your teacher is teaching you. Thank you Sal Khan, consistently watching your videos is making school a breeze for me : D

  • @midotme
    @midotme 7 місяців тому

    Perfect very good explanation. It's very simplified. Thanks a lot.

  • @alexandremachado1014
    @alexandremachado1014 2 роки тому

    Really well explained video, thanks a lot!

  • @mlijah
    @mlijah 6 років тому +25

    When you scroll through the study group and somebody needs help with math you know
    Bottom Text

  • @elenaolivare923
    @elenaolivare923 4 роки тому +6

    I think i can understand you more than my teacher in math

  • @deniseearnhardt8110
    @deniseearnhardt8110 7 років тому +4

    Thanks SO much for this video! It helped a lot!! You are the best!

  • @sciaskswhy3705
    @sciaskswhy3705 5 років тому +1

    Thank you khan academy, very cool!

  • @nancylara449
    @nancylara449 3 роки тому +1

    Thank you, life saver! Textbook definitions make it hard to understand.

  • @Fernando-G
    @Fernando-G 4 роки тому +2

    Someone tell me I'm not the only one without audio on this video.

  • @thespaghoot7089
    @thespaghoot7089 5 років тому +2

    You help me alot

  • @nickypappas8748
    @nickypappas8748 6 років тому +1

    Does anyone know if this includes interceptions with cubics?

  • @Aminhelal210
    @Aminhelal210 3 роки тому

    Thanks for the clrear interpretation

  • @tomfrantz
    @tomfrantz 3 роки тому

    My brain has a constant rainbow wheel spinning and air is coming out of my ears. But thank you Doctor Khan.

  • @dhamodarannarayanaswamy8233
    @dhamodarannarayanaswamy8233 4 роки тому +1

    This is a very nice video and I learned a lot from this video Sal

  • @Dannnneh
    @Dannnneh 3 роки тому +2

    Shouldn't it be mononomial?

  • @bogdandragan289
    @bogdandragan289 3 роки тому +2

    Yoo indian guy on youtube lets gooo

  • @gabry0980
    @gabry0980 3 роки тому

    Thanks a lot! That's a really clean explanation... At this point in time I'm really trying to understand math

  • @ZethMrnda
    @ZethMrnda 7 років тому +3

    This is extremely helpful js

  • @supermam3343
    @supermam3343 6 років тому +1

    Hi all khan method is very easy that amazing....

  • @sangmadewira4726
    @sangmadewira4726 2 роки тому

    my first time studying for a math contest with a huge prize, thank you for providing such easy and accesable lessons Khan Academy. Wish me luck guys

    • @moonwatcher4047
      @moonwatcher4047 Рік тому

      How’d ya do?

    • @sangmadewira4726
      @sangmadewira4726 Рік тому

      @@moonwatcher4047 i forgot but i remember i was near the 50th percentile among like 400 students lol. It was still a fun experience tho

  • @leungwingshan9142
    @leungwingshan9142 7 років тому +2

    nice video,but u also have some video about polar coordinate?

  • @carlosalonga699
    @carlosalonga699 7 років тому

    thanks for this video. it helps me a lot. :)

  • @csm5040
    @csm5040 5 років тому +1

    Exelent and clear explanation for the polynomials. Your videos always fill my gaps math. Thank you Sal.

  • @suneeshnair437
    @suneeshnair437 2 роки тому

    I am a fifth grader who is going to take a test for Algebra I. This really helps.

  • @deepakssikarwar
    @deepakssikarwar 5 років тому

    I think coefficient of a term is any factor of that term whether it is a numerical coefficient or simply coefficient or whether it is a literal coefficient....but you said that only numerical coefficient is the only coefficient of that term however there are literals also waiting to get their chance as well....

  • @anthonytonev1357
    @anthonytonev1357 5 років тому +21

    Here are some monomial integers sorted in ascending order each divided by one: 1,2,3,4,5,6,7,8,9 - also known as counting.

  • @icomakonotsi6142
    @icomakonotsi6142 6 років тому +2

    Nice videos khan, what do you use for the visual elements, is it an app?

  • @zeflornix7833
    @zeflornix7833 5 років тому

    we started learning about monomers and polynomials in year 7

  • @clashoclan3371
    @clashoclan3371 2 роки тому +1

    I didn't realize it was this simple

  • @calvinize0297
    @calvinize0297 5 років тому +2

    Really helpful 😊😀😀

  • @bilalajmal8911
    @bilalajmal8911 7 років тому +3

    Which software you use for writing. Please tell me sir

  • @restlesshusky2306
    @restlesshusky2306 3 роки тому

    Looking at 5:22, can it be a polynomial if 'a' were greater than or equal to 1?

  • @shivangi3030
    @shivangi3030 6 років тому +1

    Thanks sir.

  • @ahmednoor1075
    @ahmednoor1075 6 років тому

    This channel is good but ilmkidunya is much better for metriculatin class 9,10,11. They make very well explained tutorials of all subjects and all chapters.

  • @umerfarooq2234
    @umerfarooq2234 3 роки тому

    Keep up the good work👏

  • @RushilKoshti
    @RushilKoshti 4 роки тому

    I did not know that a polynomial exists for only positive known integers. But now I know.

  • @abdurrahman-hi9ex
    @abdurrahman-hi9ex 3 роки тому +1

    10 minutes from sal more effective from 30 lectures of my teacher.

  • @lukasburkler8651
    @lukasburkler8651 Рік тому

    Thank you man

  • @emyleefairley555
    @emyleefairley555 6 років тому +7

    I hope this helps me for algebra 1

  • @MSFR-911_
    @MSFR-911_ 2 роки тому

    سبحان الله وبحمده سبحان الله العظيم
    استغفر الله العظيم الذي لا إله إلا هو الحي القيوم و أتوب إليه
    سبحان الله وبحمده عدد خلقه ورضا نفسه وزنة عرشه ومداد كلماته
    اللهم صَلِّ وسَلّمْ عَلَى نَبِيْنَا مُحَمد ﷺ

  • @f.d.english5080
    @f.d.english5080 5 років тому +6

    Thanks. Can you tell me what your using to write? Like is it a pen or a mouse? Just wondering cause you have nice control

    • @f.d.english5080
      @f.d.english5080 3 роки тому +2

      @KEVIN PENG thanks....2 years after I received my GED 😂 thanks for the help

    • @sufiahussain2920
      @sufiahussain2920 3 роки тому

      @@f.d.english5080 😂😂

  • @glennpoku9414
    @glennpoku9414 4 роки тому

    Better than my high school math teacher

  • @allinone4884
    @allinone4884 Рік тому +1

    Love from India🇮🇳

  • @CurbShady
    @CurbShady 4 роки тому +2

    Teach us more

  • @neptunefan1210
    @neptunefan1210 6 років тому +4

    7:25

  • @Mike-ij5vf
    @Mike-ij5vf Рік тому

    ty a lot

  • @bobbyfisher2167
    @bobbyfisher2167 6 років тому +3

    10x^3 - 2x^2 + 14x^1/2
    My teacher said that this is a polynomial but the 14x is raised to a fraction so shouldn't it not be?

    • @HarryMoho
      @HarryMoho 6 років тому +2

      Bobby Fisher it's not a polynomial

  • @rohailkhantv1501
    @rohailkhantv1501 2 роки тому

    I seeing this video in 2022.
    Now i understand about polynomial

  • @siopaop
    @siopaop 2 роки тому

    thank u! :)

  • @cathyd.6915
    @cathyd.6915 3 роки тому

    why does everyone find these so helpful he should at least not make mistakes and then fix them without editing the mistakes out

  • @sumittete2804
    @sumittete2804 Рік тому

    Sir....in Wikipedia I found that "x" is called as indeterminate in polynomial expression but "x" is called as variable in polynomial function. I still can't get the difference mentioned in the Wikipedia about polynomial. Can you please explain me this clearly?
    Thanks in advance 🙏

  • @TheR3ALPhobos
    @TheR3ALPhobos 10 місяців тому

    I need to know who narrates this his voice is so soothing

  • @easylearningmaths
    @easylearningmaths 5 років тому

    Logic Mathematics 👍🏻

  • @rl1111rl
    @rl1111rl 2 роки тому

    The one thing that he didn’t talk about is whether you could have more than a single variable in a polynomial. Eg. 3x^2 + 2y^3

  • @idachung718
    @idachung718 4 роки тому

    Another good 📹

  • @mikelabdulnour8724
    @mikelabdulnour8724 Рік тому

    Very helpful

  • @noobplays5677
    @noobplays5677 6 років тому +1

    Khan Academy!!

  • @amad132
    @amad132 7 років тому +8

    let's explore the notionnnn he looks tired there

  • @CM-zd5yy
    @CM-zd5yy 4 роки тому +1

    Another rule you should watch out for is if, the polynomial has any terms that are being divided by a variable. If this is true then the formula is not a polynomial!

  • @TripledGoldReese
    @TripledGoldReese 7 років тому +4

    x times the nth root of y

  • @guptabp5055
    @guptabp5055 5 років тому +3

    Anyone please tell me if khan academy consists of entire CBSE portion!!!

  • @teendailymotivation9817
    @teendailymotivation9817 4 роки тому +2

    woah

  • @carrygaming8718
    @carrygaming8718 3 роки тому

    He teaches better than my teacher

  • @beginnersmathematics2079
    @beginnersmathematics2079 4 роки тому

    Awesome

  • @heeeboisss5963
    @heeeboisss5963 3 роки тому

    Stressing over two tests I'm retaking in an hour

  • @sumittete2804
    @sumittete2804 Рік тому

    At 3:44...9x^0 is not defined at x=0 since 0^0 is not defined. Then how can we say 9x^0=9 for all real x's?

  • @gwenshaina3184
    @gwenshaina3184 7 років тому +4

    At 7:23 minutes of the video jhan drew a happy face 😃

  • @kingsolomonladzekpo7490
    @kingsolomonladzekpo7490 5 років тому +1

    Shouldn't the exponent of 9x be 1, bcos x^0 is 1 therefore that is no longer 9x but 9(1). Please confirm. Thank you

    • @alyssalourdes5748
      @alyssalourdes5748 4 роки тому

      thats what i was thinking!

    • @heriyak8075
      @heriyak8075 4 роки тому

      U can never consider the value of x! U can't determine x as any number without exact proof! So it's better to take x^0=1 instead of taking the risk of considering x=1 ! Because when you take 9x as a term, it gives out lot of solutions, not just 9(1)! ☺

  • @bloggerofficial5733
    @bloggerofficial5733 4 роки тому

    too good

  • @thebadagnostic
    @thebadagnostic 6 років тому

    +Khan Academy Let Q(X,Y)=2x^3+3X^2Y+XY +1. which one is the leading term in this one ?

  • @johnmahugu
    @johnmahugu 4 місяці тому

    thanks

  • @instertname4893
    @instertname4893 2 роки тому

    This test is gonna be easy

  • @junodeer
    @junodeer 5 років тому

    I hate math, but this video is helping, thanks!

  • @PapaJGamez
    @PapaJGamez Рік тому +1

    my head hurts from all of this

  • @bloggerofficial5733
    @bloggerofficial5733 4 роки тому

    thnx

  • @WorldKre
    @WorldKre 4 роки тому

    I know I’m 3 years late but what do you do with the negative integer because I always get mixed up